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Find the vector and the cartesian equati...

Find the vector and the cartesian equations of the lines that passes through the origin and (5, – 2, 3).

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the equation of the line in vector and in cartesian form that pas...

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  2. Find the vector equation for the line through the points : (1,2,2) and...

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  3. Find the vector and the cartesian equations of the lines that passes t...

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  4. Find the vector and cartesian equations of the line that passes throug...

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  5. Find the equation of a st line through (-1,2,3) and equally inclined t...

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  6. Find the equation of a line parallel to x-axis and passing through the...

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  7. Find the angle between the pairs of lines with direction ratios: <5,12...

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  8. Find the angle between the pairs of lines with direction ratios:<a,b,c...

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  9. The angle between a line with direction ratios proportional to 2, 2, ...

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  10. Find the angle between the following pairs of lines : vecr=3hati+2hatj...

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  11. Find the angle between the following pair of lines: vecr = 3hati+hatj-...

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  12. Find the angle between the following pairs of lines : (x-2)/2=(y-1)/5=...

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  13. Find the angle between the following pairs of lines : (5-x)/3=(y+3)/-4...

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  14. Find the angle between the following lines (x+1)/(1)=(y-4)/(1)=(z-5)...

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  15. Find the angle between the pair of lines (x+3)/3 = (y-1)/5 = (z+3)/4an...

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  16. Show that the lines (x-5)/7 = (y+2)/-5 = z/1 and x/1 = y/2 = z/3 are p...

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  17. Show that the lines : (x-3)/2=(y+1)/-3=(z-2)/4 and (x+2)/2=(y-4)/4=(z+...

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  18. Find the value of p so that the lines : l1:(1-x)/3=(7y-14)/(2p)=(z-3)/...

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  19. Find k so that the lines : (x-3)/2=(y+1)/3=(z-2)/(2k) and (x+2)/1=(4-y...

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  20. Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perp...

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